Search a number
-
+
12014208 = 273210429
BaseRepresentation
bin101101110101…
…001010000000
3211121101101200
4231311022000
511033423313
61105301200
7204055563
oct55651200
924541350
1012014208
1168664a8
124034800
1326485cb
14184a4da
1510c4b73
hexb75280

12014208 has 48 divisors (see below), whose sum is σ = 34575450. Its totient is φ = 4004352.

The previous prime is 12014203. The next prime is 12014209. The reversal of 12014208 is 80241021.

It can be written as a sum of positive squares in only one way, i.e., 6594624 + 5419584 = 2568^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12014201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4063 + ... + 6366.

Almost surely, 212014208 is an apocalyptic number.

12014208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12014208 is an abundant number, since it is smaller than the sum of its proper divisors (22561242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12014208 is a wasteful number, since it uses less digits than its factorization.

12014208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10449 (or 10434 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12014208 is about 3466.1517566316. The cubic root of 12014208 is about 229.0331689844.

Adding to 12014208 its reverse (80241021), we get a palindrome (92255229).

The spelling of 12014208 in words is "twelve million, fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10429 20858 31287 41716 62574 83432 93861 125148 166864 187722 250296 333728 375444 500592 667456 750888 1001184 1334912 1501776 2002368 3003552 4004736 6007104 12014208